36606261628800 has 576 divisors, whose sum is σ = 137004226257600. Its totient is φ = 9295746416640.

The previous prime is 36606261628799. The next prime is 36606261628813. The reversal of 36606261628800 is 882616260663.

It is a happy number.

36606261628800 is a `hidden beast` number, since 3 + 6 + 6 + 0 + 6 + 2 + 6 + 1 + 628 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49717746 + ... + 50448654.

It is an arithmetic number, because the mean of its divisors is an integer number (237854559475).

Almost surely, 2^{36606261628800} is an apocalyptic number.

36606261628800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36606261628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68502113128800).

36606261628800 is an abundant number, since it is smaller than the sum of its proper divisors (100397964628800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36606261628800 is a wasteful number, since it uses less digits than its factorization.

36606261628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731023 (or 731003 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 36606261628800 in words is "thirty-six trillion, six hundred six billion, two hundred sixty-one million, six hundred twenty-eight thousand, eight hundred".